The base length of a triangle is 12cm. If the height is not changed, the area will be increased by 16cm after the base length is increased by 4cm

Let the height of the original triangle be h, then the area of the original triangle = 12 * H / 2 = 6h
Now keep the height unchanged (still h), extend the bottom edge by 4cm, then the bottom edge becomes 12 + 4 = 16cm
Now the area of the triangle is 16 * H / 2 = 8h
It is known that if the area is increased by 16 cm ^, then:
8h-6h=16
The solution is h = 8cm
Then, the original triangle area = 6h = 48CM^

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